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# If x > 0 and y < 0, what is the value of x + y?

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Intern
Joined: 09 Jul 2013
Posts: 10
Concentration: Human Resources, Entrepreneurship
Schools: ISB '14
If x > 0 and y < 0, what is the value of x + y?  [#permalink]

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07 Sep 2013, 06:00
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2
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Difficulty:

25% (medium)

Question Stats:

69% (00:56) correct 31% (01:04) wrong based on 257 sessions

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If x > 0 and y < 0, what is the value of x + y?

(1) |x| = |y|

(2) x^2 = y^2
Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 611
Re: If x > 0 and y < 0, what is the value of x + y?  [#permalink]

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07 Sep 2013, 06:03
2
aparnaharish wrote:
If x > 0 and y < 0, what is the value of x + y?

(1) |x| = |y|

(2) x^2 = y^2

We know that x>0 and y<0. Thus, $$x\neq{y}$$ $$\to (x-y)\neq{0}$$

From F.S 1, square on both sides : $$x^2 = y^2 \to (x+y)(x-y)=0$$. Thus, x+y =0.Sufficient.
F.S 2 is exactly the same as above. Sufficient.

D.
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Re: If x > 0 and y < 0, what is the value of x + y?  [#permalink]

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07 Sep 2013, 06:12
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1
If x > 0 and y < 0, what is the value of x + y?

(1) |x| = |y|. Since x > 0 and y < 0, then |x| = x and |y|=-y --> x = -y --> x + y = 0. Sufficient.

(2) x^2 = y^2 --> |x| = |y|. The same here. Sufficient.

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Re: If x > 0 and y < 0, what is the value of x + y?  [#permalink]

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25 Jul 2017, 09:46
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Re: If x > 0 and y < 0, what is the value of x + y?   [#permalink] 25 Jul 2017, 09:46
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